C012 · Orthogonal ProfilesISO 128 · 1:1
Greek Cross — composite figure at 1:1 scale with dimensions, area 33.8 cm²
A = 5·l² · 2p = 12·l

Primary school · TypeLab 2D

Greek Cross

Greek Cross: a composite plane figure made of a square with side 2.6 cm, joined with a square with side 2.6 cm, joined with a square with side 2.6 cm, joined with a square with side 2.6 cm, joined with a square with side 2.6 cm. It is a classic primary school geometry problem (“Orthogonal Profiles”). The net area is 33.8 cm² and the total perimeter is 31.2 cm.

Certified measurements (1:1 scale)

Net area
33.8 cm²
Total perimeter
31.2 cm
Bounding box
7.8 × 7.8 cm
Basic shapes
5
Open in TypeLab 2D

Step-by-step decomposition

  1. 1.Basesquare with side 2.6 cm6.76 cm²
  2. 2.+square with side 2.6 cm6.76 cm²
  3. 3.+square with side 2.6 cm6.76 cm²
  4. 4.+square with side 2.6 cm6.76 cm²
  5. 5.+square with side 2.6 cm6.76 cm²

Area of each basic shape before the Boolean composition.

How to find the area

Area formula: A = 5·l² · 2p = 12·l

Split the figure into basic shapes, find each area, add the joined parts and subtract the cut-outs: A = 6.76 + 6.76 + 6.76 + 6.76 + 6.76 = 33.8 cm².

Editable in PowerPoint & Office

The .PPTX file contains native DrawingML shapes: outlines, dimensions and labels stay separate objects you can recolor and edit in PowerPoint, Keynote and Google Slides. The .SVG file is pure vector art at 1:1 scale on an A4 sheet, ready for print, LaTeX and textbook layout.

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